Prime numbers having a difference of 2 are called twin primes. There is an infinite number of twin primes; the twin primes under 1000 are (3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61), (71, 73), (101, 103), (107, 109), (137, 139), (149, 151), (179, 181), (191, 193), (197, 199), (227, 229), (239, 241), (269, 271), (281, 283), (311, 313), (347, 349), (419, 421), (431, 433), (461, 463), (521, 523), (569, 571), (599, 601), (617, 619), (641, 643), (659, 661), (809, 811), (821, 823), (827, 829), (857, 859), and (881, 883).
Only 1 pair of prime numbers, 2 and 5, have a difference of 3. All prime numbers greater than 2 are odd so will have an even difference.
All prime numbers are odd numbers, except for the number 2. The difference between two odd numbers must be a multiple of 2. So, if the difference between two prime numbers is another prime number, that difference must be 2.Examples:{3, 5}{5, 7}{11, 13}{29, 31}
As the number 2 is the only even prime number then a difference of 1 occurs only between 2 and 3. All other prime numbers are odd and therefore the minimum difference between successive prime numbers is 2.
No. Consider 2 and 3. For that matter, consider 2 and all the rest of the prime numbers.
The prime numbers 2 and 3.
5
Not necessarily. 71 is a prime number, 7 is a prime number, and 71-7= 64, which is NOT a prime number. In most cases, the difference of two prime numbers will not be a prime number. All prime numbers greater than 2 will be odd numbers. The difference between two odd numbers will be an even number. Unless that even number is 2, it is not a prime number. Here are some additional examples: 19, 13: difference 6, not prime 23, 7: difference 16, not prime 53, 31: difference 22, not prime 61, 59: difference 2, prime 113, 109: difference 4, not prime 293, 283: difference 10, not prime 331, 101: difference 230, not prime
7 and 2 are the prime numbers having a difference of 5.
3 and 2 are the only prime numbers with a difference of 1.
All consecutive integers have a difference of one.
The maximum difference is 8, between 89 and 97.
Twin primes